\"\"

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(a)

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The parametric equations are \"\" and \"\".

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Draw a table for different values of \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"
\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"\"
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Graph:

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(1) Draw the coordinate plane.

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(2) Plot the point obtained from the table.

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(3) Connect the points to a smooth curve.

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\"\"

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\"\"

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(b)

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The parametric equations are \"\" and \"\".

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Consider \"\".

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\"\"

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Substitute \"\" in \"\".

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\"\"

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Rectangular equation of the curve is \"\".

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\"\"

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(a) Graph the parametric curve.

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\"\"

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(b) Rectangular equation of the curve is \"\".